Physics — Banked Curve with Friction

\tan\theta = \frac{v^2}{rg} \;\;\text{(no friction)}

v_{max} = \sqrt{rg\,\frac{\tan\theta + \mu}{1 - \mu\tan\theta}}

F_c = \frac{mv^2}{r}

N = \frac{mg}{\cos\theta}